Topological Data Analysis (TDA) for Three Groups using Binary Adjacency Matrices

I am seeking an experienced professional to assist with Topological Data Analysis (TDA) on datasets representing three groups—Healthy, Post Treatment, and Prior Treatment. The data is presented as Binary adjacency matrices, with each group consisting of 30 subjects.

Project Tasks:

1) Functional Connectivity Analysis:
Identify and quantify differences in functional connectivity among the three groups.

2) Structural Connectivity Analysis:
Determine and document the variance in structural connectivity within the dataset.

3) Properties Analysis:
Investigate and compare the following properties across groups:
Global-Small World
Global-Efficiency
Global-Rich-Club
Global-Assortativity
Global-Synchronization
Global-Hierarchy
Nodal-Clustering Coefficient
Nodal-Shortest Path Length
Nodal-Local Efficiency
Nodal-Degree Centrality
Nodal-Betweenness Centrality
Nodal-Community Index
Nodal-Participant Coefficient
Modular-Interaction

4) Requirements:
Proficiency in relevant software for topological data analysis.
Ability to provide a comprehensive guide detailing the analysis methodology.

5) Deliverables:
Detailed documentation explaining the analysis process for each task.
Visual representations of the findings, if applicable.
Any code or scripts used in the analysis.

6) Note to Applicants:
Please specify the software you plan to use for the analysis.
Include a sample or description of a similar project you've worked on.
Emphasize your ability to provide clear and concise documentation.

7) Timeline:
Provide an estimated timeline for completion, taking into account the complexity of the tasks.

8) Budget:
Indicate your proposed budget for the entire project.

How to Apply?
Interested candidates should send a tailored proposal outlining their experience, approach to the project, and relevant samples of previous work.

Thank you!